If Cardinal Burke gets elected pope …

For those with a sense of humour. Hypothetical and unlikely, therefore fictional, scenario:

Cardinal Burke, Archbishop Vigano, and Bishop Schneider formally go into schism and claim that Pope Francis is no longer a real pope. They choose to hold a conclave and elect a new pope. Their parents do not vote. Cardinal Burke wins by 3 votes to 0.

Cardinal Burke takes which one of the following names as the new pope:

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Pope Pius V
Pope ?????